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Finding the Fourth Proportional to 16,871.04, 23,282 and 9,419.04

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Solution

The fourth proportional to 16,871.04, 23,282 and 9,419.04 is: 12,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.04 : 23,282 = 9,419.04 : x
  2. Step 2: Convert to fraction form
    16,871.04/23,282 = 9,419.04/x
  3. Step 3: Cross multiply
    16,871.04x = 23,282 × 9,419.04
  4. Step 4: Simplify right side
    16,871.04x = 219,294,089.28
  5. Step 5: Solve for x
    x = 219,294,089.28/16,871.04
  6. Step 6: Final answer
    x = 12,998.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.